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ad-work [718]
3 years ago
11

In B E C, F is the centroid, and AC = 12. Find A F and F C

Mathematics
1 answer:
klemol [59]3 years ago
4 0

bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.

since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.

\bf A C=A F+F C\qquad \qquad \cfrac{F C}{A F}=\cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{12}{2+1}}{1\cdot \frac{12}{2+1}}\implies \cfrac{2\cdot 4}{1\cdot 4}\implies \cfrac{8}{4}

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2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0
zlopas [31]

Answer:

x = 4

Step-by-step explanation:

Let's solve:

2(2−2x)=−3x

Step 1: Simplify both sides of the equation.

2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x

Step 2: Add 3x to both sides.

−4x+4+3x=−3x+3x \\ −x+4=0

Step 3: Subtract 4 from both sides.

−x+4−4=0−4 \\ −x=−4

Step 4: Divide both sides by -1.

\frac{ - x}{ - 1}  =  \frac{ - 4}{ - 1}

Therefore, the answer will be x = 4.

5 0
3 years ago
Find the values forX, Y, and Z so that all the following statements are true.
kvasek [131]

Answer:

x = -36, y = 6, z = -6

Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

For some positive integer n, ...

... x = -36n², y = 6n, z = -6n.

8 0
3 years ago
4(4-w)=3(2w+2)<br>find w​
Travka [436]

Answer:

1

Step-by-step explanation:

4(4-w) = 3(2w+2)

Use distributive property:

16 - 4w = 6w + 6

    +4w  +4w

------------------------

     16 = 10w + 6

    -6              -6

-------------------------

        10 = 10w

        ----    -----

        10      10

         1 = w

Hope this helped.

7 0
3 years ago
Read 2 more answers
A circle has a circumference of 9 pi meters what is the area of this circle​
Andreas93 [3]

Answer: 63.62 square m.

Step-by-step explanation:

Find the Radius so 9/2= 4.5

Area = π r²

Area 3.14(20.25)

Area equles 63.62

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3 years ago
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